26 August 2026
Anthropic's Claude model solves decades-old mathematics problem
First reported
AI Breakfast ran this on .
- Claude Opus 5, Anthropic's most advanced chatbot, generated a 100-plus-page mathematical proof addressing a problem unsolved for 78 years.
- The proof concerns complex structure on a six-dimensional sphere, a topic in advanced mathematics that typically requires specialized expertise.
- Anthropic researcher Levent Alpoge made the discovery public, indicating the model can produce substantive work in formal mathematics.
How it was covered
AI BreakfastIndependent editors
Anthropic researcher Levent Alpoge revealed that Claude Opus 5 solved a 78-year-old math problem, generating a 100-plus-page proof about complex structure on the six-dimensional sphere.